Federico Ardila: Arithmetic Tutte polynomials of classical Coxeter groups

 The Tutte polynomial is a very important combinatorial invariant of an arrangement of hyperplanes. It encodes a great amount of enumerative, topological, and algebraic information about the arrangement - whether the underlying vector space is real, complex, or finite. The arithmetic Tutte polynomial, introduced by Moci in 2009, plays the analogous role for toric arrangements. We introduce a "finite field method" for computing arithmetic Tutte polynomials, and use it to compute these polynomials for the classical Coxeter groups. The talk will not assume previous knowledge of the subject. 
Joint work with Federico Castillo (Los Andes / UC Davis) and Mike Henley (SFSU).